86.6k views
3 votes
PLEASE HELPPPP

A soccer coach determines that there is a 50% chance that a star player, Ralph,
will play in a tournament.
• The probability that another star player, Dan, will play is 0.48.
• The probability that both Ralph and Dan will play in the tournament is 0.25.

PLEASE HELPPPP A soccer coach determines that there is a 50% chance that a star player-example-1

2 Answers

4 votes

Answer50.5

ffffffffffffffff

User GregoryBrad
by
8.4k points
5 votes

The probability that either Ralph or Dan will play in the tournament is 0.73, obtained by adding their individual probabilities and adjusting for the overlap when both play.

To find the probability that either Ralph or Dan will play in the tournament, you need to consider the sum of their individual probabilities and then adjust for the overlap when both play.

1. First, add the individual probabilities: 0.50 + 0.48.


\[ \text{Sum} = 0.98 \]

2. Since the probability that both Ralph and Dan will play (0.25) was included in the sum, you need to adjust for the overlap.


\[ \text{Final Probability} = \text{Sum} - \text{Overlap} = 0.98 - 0.25 \]


\[ \text{Final Probability} = 0.73 \]

So, to find the probability that either Ralph or Dan will play in the tournament, first, add their individual probabilities (0.50 and 0.48), and then subtract the probability of both playing (0.25) from the sum.

User George Mavritsakis
by
8.5k points