The probability that all of them are rose bouquets is 0.143.
It should be noted that this question is about probability without replacement.
The probability of picking a rise bouquet is 5/7. It should be noted that each value decreases since Ariel is selecting 4 bouquets.
The probability that all of them are rose bouquets will be:
= 5/7 × 4/6 × 3/5 × 2/4
= 5/7 × 2/3 × 3/5 × 1/2
= 30/210
= 1/7
= 0.143
The probability is 0.143.
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