you draw a card at random from a deck that contains 3 black cards and 7 red cards. what is p(draw a black…

you draw a card at random from a deck that contains 3 black cards and 7 red cards. what is p(draw a black card)? if necessary, round your answer to 2 decimal places.

you draw a card at random from a deck that contains 3 black cards and 7 red cards. what is p(draw a black card)? if necessary, round your answer to 2 decimal places.

Answer

Explanation:

Step1: Identify total and favorable outcomes

Total cards = 3 (black) + 7 (red)=10. Favorable outcomes (black cards) = 3.

Step2: Calculate probability

Probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{draw a black card})=\frac{3}{10}=0.30$.

Answer:

0.30