Three friends, Rick, Brenda and Ali, go to a football match but forget to say which entrance

Question:

Three friends, Rick, Brenda and Ali, go to a football match but forget to say which entrance to the ground they will meet at. There are four entrances, A, B,C and D. Each friend chooses an entrance independently.

• The probability that Rick chooses entrance A is 1/3. The probabilities that he chooses entrances B,C or D are all equal.

• Brenda is equally likely to choose any of the four entrances.

• The probability that Ali chooses entrance C is 2/7 and the probability that he chooses entrance D is 3/5.

The probabilities that he chooses the other two entrances are equal.

i. Find the probability that at least 2 friends will choose entrance B.

ii. Find the probability that the three friends will all choose the same entrance.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: