Question

Fiona is choosing flower bouquets for her wedding. The probability that a bouquet has roses is 0.98, has orchids is 0.87, or has daisies is 0.94. What is the probability that a bouquet has roses or daisies if the probability that a bouquet has roses and daisies is 0.97?

A)
0.92


B)
0.95


C)
0.97


D)
0.98

Answer 1

0.95

Explanation:

Given that in a bouquet of flowers

Probability of Roses = P (R) = 0.98

Probability of Orchids = P (O) = 0.87

Probability of Daisies = P (D) = 0.94

Probability of Roses and Daisies = P (R ∩ D) = 0.97

Note: In probability, the AND operation is represented by intersection symbol (∩) and OR operation is is represented by union symbol (U).

Now we have to find the probability of roses or daisies in a given bouquet of flowers. In order to calculate it we use the following formula:

Probability of roses or daisies = P (R U D) = P(R) + P (D) - P(R ∩ D)

P (R U D) = 0.98 +0.94 - 0.97

P (R U D) = 0.95

So, the probability of getting roses or daisies in a bouquet of flowers is 0.95 or 95 percent.