Question

Shironda rolls a number cube(six sides) and chooses a card from a standard deck of cards(52 cards).

What is the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck?

1/78
1/24
5/78
10/39

Answer 1

The answer is 178. Explanation: The probability that one rows a 5 on a standard six-sided cube is 16 since there is 1 number on the dice that has the number 5 out of a total of 6 possibilities. On a deck of 52 cards, there are four 5's (for each suit). Thus the probability is 452=113 These events are independent. Thus, to calculate their P(A and B), we multiply their probabilities. 16⋅113=178

Answer 2

Answer: The correct option is (A)
`(1)/(78).`

Step-by-step explanation: Given that Shironda rolls a number cube with 6 sides and chooses a card from a standard deck of 52 cards.

We are to find the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck.

There is only one 5 in a number cube with 6 sides, so the probability of rolling a 5 on the number cube is

`p_1=(1)/(6).`

There are four 5's in a deck of 52 cards, so the probability of rolling a 5 from the deck is

`p_2=(4)/(52)=(1)/(13).`

Therefore, the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck is given by

`P=p_1* p_2=(1)/(6)*(1)/(13)=(1)/(78).`

Thus, the required probability is
`(1)/(78).`

Option (A) is CORRECT.