Question

The probability of drawing a card, chosen at random from a standard deck of 52 cards, which is either a diamond or a club is 0.5.

Group of answer choices

True

False

The probability that account A will have an error in it is 0.75. The probability that account B will have an error in it is 0.40. The probability that both accounts will be in error is 0.20. Are these two accounts independent of each other?

Group of answer choices

Yes

No

Insufficient information to determine

The probability that a shot will hit the target is 0.02. Successive shots are independent of each other. What is the probability that at least one out of four shots will hit the target?

Group of answer choices

0.25

0.005

0.9999999984

0.00000016

0.0776

Answer 1

Question 1)

The probability of drawing a card, chosen at random from a standard deck of 52 cards, which is either a diamond or a club is 0.5.

Answer)

Probability is given by

Favorable/total

Total = 52

Favorable = either diamond or club = 13 + 13 = 26

Probability = 26/52 = 0.5

So yes it is true

Question 2)

The probability that account A will have an error in it is 0.75. The probability that account B will have an error in it is 0.40. The probability that both accounts will be in error is 0.20. Are these two accounts independent of each other?

Answer)

When a and b are independent

Then, p(a and b) = p(a)*p(b)

P(a) = 0.75

P(b) = 0.4

P(a and b) = 0.75*0.4 = 0.3 which is not equal to 0.2

So, no they are not independent