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you choose at random from the letters a b c and d and you roll a number cube once what are the chances you get a and 5


Make a tree diagram too.

Verified Answer :

So if your number cube is six-sided, the probability is 1/24.
Because the probability of picking A (or any other letter) is 1/4,  the probability of picking the number 5 off a six-sided number cube is 1/6, and the probability of both occurring at the same time is 1/4 times 1/6, which is 1/24.

Answer:

The chances to get a5 is 1/24

Step-by-step explanation:

The chances to get an a from data set {a, b, c, d} is = desired outcome / total possible outcomes = 1/4

The chances to get an 5 from data set {1, 2, 3, 4, 5, 6} is = desired outcome / total possible outcomes = 1/6

Both events are independent, then the chances to get a5 is = 1/4 * 1/6 = 1/24

In the figure attached, the tree diagram is shown. It can be seen that there are 24 possible outcomes and only one a5, therefore, the previous result is confirmed.

View image jbiain

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