The probability that it will rain tomorrow is $0.25$. If it rains tomorrow, the probability that Amanda plays tennis is $0.1$. If it doesn't rain tomorrow, the probability that she plays tennis is $0.9$. Let $A$ be the event 'rains tomorrow' and $B$ be the event 'plays tennis'. Find the probability that, Amanda plays tennis tomorrow, given that it will not be raining.

The probability that it will rain tomorrow is $0.25$. If it rains tomorrow, the probability that Amanda plays tennis is $0.1$. If it doesn't rain tomorrow, the probability that she plays tennis is $0.9$. Let $A$ be the event 'rains tomorrow' and $B$ be the event 'plays tennis'. Find the probability that, Amanda does not play tennis tomorrow, given that it will not be raining.

One coin is flipped and two dice are thrown. Let $A$ be the event 'coin lands tails side up' and let $B$ be the event 'throwing two sixes'. Draw a tree diagram and determine whether the events $A\text{ and }B$ are independent or not.

Jar $X$ contains $3$ brown shoelaces and $2$ black shoelaces. Jar $Y$ contains $5$ brown shoelaces and $4$ black shoelaces. Norina takes a shoelace from Jar $X$ and a shoelace from Jar $Y$. Let $A$ be the event 'taking a brown shoelace from Jar $X$ ' and let $B$ be the event 'taking a brown shoelace from jar $Y$'. Draw a tree diagram and determine whether the events $A\text{ and }B$ are independent or not.

There are $10$ doughnuts in a bag: $5$ toasted coconut and $5$ Boston creme. Floris takes one doughnut and eats it, then he takes a second doughnut. Let $A$ be the event 'the first doughnut is toasted coconut' and let $B$ be the event 'the second doughnut is toasted coconut'. Draw a tree diagram and determine whether the events $A\text{ and }B$ are independent or not.

The probability that Mickey plays an online room escape game given that it is Saturday is $60\%$. On any other day of the week, the probability is $50\%$. Let $B$ be the event 'playing a room escape game' and let $A$ be the event 'the day is Saturday'. Draw a tree diagram and determine whether the events $A\text{ and }B$ are independent or not.

There are $10$ students in your class: $6$ girls and $4$ boys. Your teacher selects two students at random after putting everyone's name in a hat. When the first person's name is selected, it is not put back in the hat. Let $A$ be the event that the first person selected is a girl. Let $B$ be the event that the second person selected is a girl. Determine whether the events $A\text{ and }B$ are independent or not.

Tokens numbered $1$ to $12$ are placed in a box and two are drawn at random. After the first token is drawn, it is not put back in the box, and a second token is selected. Let $A$ be the event that the first token drawn is number $4$ . Let $B$ be the event that the second number selected is an even number. Determine whether the events $A\text{ and }B$ are independent or not.

According to statistics, $60\%$ of boys eat a healthy breakfast. If a boy eats a healthy breakfast, the likelihood that he will exercise that day is $90\%$. If he doesn't eat a healthy breakfast, the likelihood that he exercises falls to $65\%$. Let $A$ be the event ' a boy eats a healthy breakfast'. Let $B$ be the event 'exercises'. Determine whether the events $A\text{ and }B$ are independent or not.