I) If it is possible for the events A and B to occur simultaneously, then P(A or

Question

I) If it is possible for the events A and B to occur simultaneously, then P(A or B) a)P(A and B) b) P(A)+P(B) c)P(A)+P(B) - P(A and B) d)1- P(A and B) 2) Find the indicated probability. If P(A and B)s 0.4, P(A)s 0.7, and P(B) 0.6, find P(A or B) 3) A single die is rolled. Find the probability of rolling an odd number or a number less than 4 4) What is the probability of getting either a 2 on a roll of a die, or a queen when drawing a single card from a deck? 5)To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the digits 1-8. How many 3-digit codes are possible if repetition of digits is permitted?

Explanation / Answer

Solution

1) option a P( A and B)

2. P( A or B) = P(A) + P(B) - P(A and B) = 0.7+0.6 - 0.4 = 0.9

3. P(odd number or less than 4) = P(odd number) + P(less than 4) - P(odd number and less than 4)

= 3/6 + 3/6 - 2/6 = 4/6 = 2/3

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