The table below shows the number of left- and right-handed golf players in a sample of 50 males and females. Left-handed Right-handed Total Male 3 29 32 Female 2 16 18 Total 5 45 50 A golf player is selected at random. Find the probability that the player is male and left-handed.

The value 3 in Left-handed column and Male row represents that there three male left-handed golf players. Probability of an event A associated with an experiment having the sample space S is given as P ( A ) = n ( A ) n ( S ) . Total number of golf players = Row total = Column total = 50 So, the probability that the player is male and left-handed = 3 50 .

The table below shows the number of left- and right-handed golf players in a sample of 50 males and females. Left-handed Right-handed Total Male 3 29 32 Female 2 16 18 Total 5 45 50 A golf player is selected at random. Find the probability that the player is right-handed.

The value 29 in Right-handed column and Male row represents that there 29 male right-handed golf players. The value 16 in Right-handed column and Female row represents that there 16 female right-handed golf player. So, there are total 29 + 16 = 45 right-handed golf player. Probability of an event A associated with an experiment with sample space S is given as P ( A ) = n ( A ) n ( S ) . Total number of golf players = Row total = Column total = 50 Thus, the probability that the player is right-handed = 45 50 = 9 10 .

The table below shows the number of left- and right-handed golf players in a sample of 50 males and females. Left-handed Right-handed Total Male 3 29 32 Female 2 16 18 Total 5 45 50 A golf player is selected at random. Find the probability that the player is right-handed, given that the player selected is female.

The row total of "Female" row is 18 . So there are total 18 female golf players. The value 16 corresponding to "Right-handed" column and "Female" row represents that there are total 16 female right-handed golf players. Randomly selected golf player is known to be a female. So, the sample space reduces to 18 female golf players. Probability of an event A associated with an experiment with sample space S is given as P ( A ) = n ( A ) n ( S ) . Thus, the probability that the player is right-handed, given that the player selected is female = 16 18 = 8 9 .

The table below shows the number of left- and right-handed golf players in a sample of 50 males and females. Left-handed Right-handed Total Male 3 29 32 Female 2 16 18 Total 5 45 50 A golf player is selected at random. Determine whether the events "male" and "left-handed" are independent.

Let M be the event that the golf player selected at random is male and L be the event that the golf player selected at random is left-handed. We have P ( L ∩ M ) = 3 50 . Also, P ( L ) × P ( M ) = 5 50 × 32 50 = 8 125 . If A and B are independent events, then P ( A ∩ B ) = P ( A ) × P ( B ) . But, P ( L ∩ M ) ≠ P ( L ) × P ( M ) . ⇒ L and M are not the independent events. Hence, "left-handed" and "male" are not the independent events.

EASY

MYP:4-5

IMPORTANT

Earn 100

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Draw a tree diagram to represent this sequence of events.

Important Questions on More than Likely, Less than Certain (Probability Systems)

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 6

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Find the probability that Stefan rolls a $5$ .

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 6

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Find the probability that he rolls a number less than $3$ .

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 6

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Find the probability that he gets green on the one die and an even number on the other.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 6

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Determine if the events 'rolling green' and 'rolling an even number' are independent, and explain your answer.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 7

The table below shows the number of left- and right-handed golf players in a sample of $50$ males and females.

	Left-handed	Right-handed	Total
Male	$3$	$29$	$32$
Female	$2$	$16$	$18$
Total	$5$	$45$	$50$

A golf player is selected at random.

Find the probability that the player is male and left-handed.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 7

The table below shows the number of left- and right-handed golf players in a sample of $50$ males and females.

	Left-handed	Right-handed	Total
Male	$3$	$29$	$32$
Female	$2$	$16$	$18$
Total	$5$	$45$	$50$

A golf player is selected at random.

Find the probability that the player is right-handed.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 7

The table below shows the number of left- and right-handed golf players in a sample of $50$ males and females.

	Left-handed	Right-handed	Total
Male	$3$	$29$	$32$
Female	$2$	$16$	$18$
Total	$5$	$45$	$50$

A golf player is selected at random.

Find the probability that the player is right-handed, given that the player selected is female.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 33 - More than Likely, Less than Certain (Probability Systems)>Mixed practice>Q 7

The table below shows the number of left- and right-handed golf players in a sample of $50$ males and females.

	Left-handed	Right-handed	Total
Male	$3$	$29$	$32$
Female	$2$	$16$	$18$
Total	$5$	$45$	$50$

A golf player is selected at random.

Determine whether the events "male" and "left-handed" are independent.

Stefan rolls two 6-sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from 1 to 6. Draw a tree diagram to represent this sequence of events.

Important Questions on More than Likely, Less than Certain (Probability Systems)

Learn and Prepare for any exam you want !

Stefan rolls two $6$ -sided dice at the same time. One die has three green sides and three black sides. The other die has sides numbered from $1$ to $6$ .

Draw a tree diagram to represent this sequence of events.