Question

1. the varsity baseball team has won 15 out of their last 16 games. the junior varsity team has won 6 out of their last 10 games. what is the probability that both teams win their next game? your answer what is the probability that junior varsity team win their next game in fraction form? 2. the varsity baseball team has won 15 out of their last 16 games. the junior varsity team has won 6 out of their last 10 games. what is the probability that both teams win their next game?

Explanation:

Step1: Calculate Varsity win probability

Probability = $\frac{\text{Wins}}{\text{Total Games}} = \frac{15}{16}$

Step2: Calculate Junior Varsity win probability

Probability = $\frac{\text{Wins}}{\text{Total Games}} = \frac{6}{10} = \frac{3}{5}$

Step3: Calculate joint win probability

Multiply the two independent probabilities: $\frac{15}{16} \times \frac{3}{5}$
Simplify: $\frac{15 \times 3}{16 \times 5} = \frac{45}{80} = \frac{9}{16}$

Answer:

1. Probability Varsity wins next game: $\frac{15}{16}$
2. Probability both teams win next games: $\frac{9}{16}$