3 a) The events A and B are such that P(A) =0.3, P(B'| A) =0.8 and P(B| A')=0.4. FindP(AOB) and P(AUB). Hence, state with reason whether A and B are independentevents.b) A box contains 5 balls labelled 1, 2, 3, 4 and 5. A player draws a ball from the boxrandomly. If the number on the ball drawn is 2, 3 or 4, the players score is that number. Ifthe number on the ball is 1 or 5, the player can draw a second ball without replacing thefirst ball, and his score is the sum of the numbers on the two balls. The events A and Bare defined as followsA: The score of a player is 4, 5, 6 or 7.B: A player draws two balls from the box.Find P(A), P(B), P(ANB) and P(AUB).

Answered: Image /qna-images/answer/fa73c25c-57e6-420a-a17f-8ed737683aac.jpg

Answered: 3 a) The events A and B are such that…

3 a) The events A and B are such that P(A) =0.3, P(B'| A) =0.8 and P(B| A') = 0.4. Find P(AOB) and P(AUB). Hence, state with reason whether A and B are independent events.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...

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Question

100%

3 a) The events A and B are such that P(A) =0.3, P(B'| A) =0.8 and P(B| A')=0.4. Find
P(AOB) and P(AUB). Hence, state with reason whether A and B are independent
events.
b) A box contains 5 balls labelled 1, 2, 3, 4 and 5. A player draws a ball from the box
randomly. If the number on the ball drawn is 2, 3 or 4, the players score is that number. If
the number on the ball is 1 or 5, the player can draw a second ball without replacing the
first ball, and his score is the sum of the numbers on the two balls. The events A and B
are defined as follows
A: The score of a player is 4, 5, 6 or 7.
B: A player draws two balls from the box.
Find P(A), P(B), P(ANB) and P(AUB).

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