Question

Darnell is running a short experiment on probability. He chooses one block at random from each of the two groups shown below. What is the probabilitythat he will choose a Z from Group 1 and a T from Group 2?

Answer 1

Answer

P(Z and T)= 8/121

Explanation

The total out come in group 1 = 11

The number of z = 4

Probability of picking a Z in group 1 = 4 / 11

Group 2

The total out comes = 11

Number of T outcomes = 2

Probability of picking a T = 2/11

Therefore, P( Z and T) = P(Z) x P(T)

P(Z and T) = P(Z) x P(T)

P(Z) = 4/11

P(T) = 2/11

P(Z and T) = 4/11 x 2/11

P(z and T) = 8/121

Therefore, the probability of picking a Z and aT is 8/121